Question

1. An exterior angle of a triangle is of measure 1200 and one of its interior opposite angles is of measure 750 . Find the measure of the other interior opposite angle.



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Answer 1

Answer:

450

Step-by-step explanation:

Given : Exterior ✓s = 1200

One interior opp. ✓s = 750

To proove : Another interior opp. ✓s = x

Proof : ✓1200 = ✓750 + x

(Exterior ✓s of a triangle is equal to the sum of interior opp. ✓s).

=) ✓1200 - ✓750 = x

=) x = ✓450

Therefore, the value of req. interior opp. angle is 450.

Answer 2

Given:

• The exterior angle = 1200°
• One of its interior angles = 750°

To Find:

• The measure of another interior opposite angle.

Solution:

• We alreday know that in a triangle the sum of its interior opposite angles is equal to its exterior angle.
• Exterior angle = interior opposite angle +  interior opposite angle.
• Substitute the values in the above formula.
• We get, 1200° = 750°+ another interior opposite angle
• Another opposite interior angle = 1200°-750°
• Another opposite interior angle = 450°

∴ The measure of another interior opposite angle = 450°.